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Finding the Fourth Proportional to 310.51, 428.29 and 179.52

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Solution

The fourth proportional to 310.51, 428.29 and 179.52 is: 247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.51 : 428.29 = 179.52 : x
  2. Step 2: Convert to fraction form
    310.51/428.29 = 179.52/x
  3. Step 3: Cross multiply
    310.51x = 428.29 × 179.52
  4. Step 4: Simplify right side
    310.51x = 76,884.57
  5. Step 5: Solve for x
    x = 76,884.57/310.51
  6. Step 6: Final answer
    x = 247.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.